At 08 15, Barbara left Town J and cycled towards Town K. Xandra left Town J and cycled towards Town K at 08 45. Xandra's cycling speed was 2 km/h faster than Barbara. At 11 15, Xandra caught up with Barbara. Find the cycling speed of each cyclist.

1. Barbara
2. Xandra

(a)
Duration that Xandra cycled from 08 45 to 11 15
= 2³⁰₆₀
= 2¹₂ h

Distance that Xandra cycled more than Barbara
= 2¹₂ x 2
= 5 km

However, since Barbara left 30 minutes earlier than Xandra and Xandra caught up with Barbara, it means that Barbara has cycled 5 km in 30 min.

1 h = 60 min 
30 min = 30 ÷ 60 = ¹₂ h

Barbara's cycling speed
= 5 ÷ ¹₂
= 5 x ²₁
= 10 km/h

(b)
Xandra's cycling speed
= 10 + 2
= 12 km/h

Answer(s): (a) 10 km/h ; (b) 12 km/h